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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 11, Pages 1952–1962 (Mi zvmmf9568)  
This article is cited in 19 scientific papers (total in 19 papers)

Quadrature formulas for functions with a boundary-layer component

A. I. Zadorina, N. A. Zadorinb

a Omsk Branch of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099 Russia
b Omsk State University, pr. Mira 55a, Omsk, 644077 Russia
Full-text PDF (209 kB) Citations (19)
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Abstract: Quadrature formulas for one-variable functions with a boundary-layer component are constructed and studied. It is assumed that the integrand can be represented as the sum of a regular and a boundary-layer component, the latter having high gradients that reduce the accuracy of classical quadrature formulas, such as the trapezoidal and Simpson rules. The formulas are modified so that their error is independent of the gradients of the boundary-layer component. Results of numerical experiments are presented.
Key words: one-variable function, boundary-layer component, high gradients, definite integral, non-polynomial interpolation, quadrature rule, error estimate.
Received: 06.12.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 11, Pages 1837–1846
DOI: https://doi.org/10.1134/S0965542511110157
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: A. I. Zadorin, N. A. Zadorin, “Quadrature formulas for functions with a boundary-layer component”, Zh. Vychisl. Mat. Mat. Fiz., 51:11 (2011), 1952–1962; Comput. Math. Math. Phys., 51:11 (2011), 1837–1846
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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